The way we (Rogers customers) and Rogers themselves would define OD is something that can be accessed by any digital (cable) customer. There are also quite a number of OD channels with thousands of programmes available. Since roughly 60% of Rogers customers are now digital, OD is available to a huge number of customers, with a huge variety of programming.
On BEV, I don't know what percentage would have PVRs, but I suspect it's not nearly as high a percentage, nor is the variety of programming available, nor is the programme available instantaneously.
These are significant differences. We would not qualify Torrents as an "on-demand" service, yet by your definition, it is...
Some of this is semantics, but the technology is quite different and the equipment required to access the programming is also different, hence our wish to clarify the matter.
We're not saying its wrong to use the term OD, but it is inaccurate, in the same way it would be inaccurate to call a Rogers STB a PVR simply because it can access an OD service (essentially the reverse of what you've been saying).